610512 has 80 divisors (see below), whose sum is σ = 1904640. Its totient is φ = 164736.

The previous prime is 610501. The next prime is 610523. The reversal of 610512 is 215016.

It is an interprime number because it is at equal distance from previous prime (610501) and next prime (610523).

It is a junction number, because it is equal to n+sod(n) for n = 610491 and 610500.

It is a congruent number.

It is an unprimeable number.

610512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7689 + ... + 7767.

It is an arithmetic number, because the mean of its divisors is an integer number (23808).

2⁶¹⁰⁵¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 610512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952320).

610512 is an abundant number, since it is smaller than the sum of its proper divisors (1294128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

610512 is a wasteful number, since it uses less digits than its factorization.

610512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 610512 is about 781.3526732532. The cubic root of 610512 is about 84.8329823048.

Adding to 610512 its reverse (215016), we get a palindrome (825528).

The spelling of 610512 in words is "six hundred ten thousand, five hundred twelve".